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145000152234 = 232747109224633
BaseRepresentation
bin1000011100001010101…
…1101011110010101010
3111212021022100221010200
42013002223223302222
54333430014332414
6150340120253030
713322144646420
oct2070253536252
9455238327120
10145000152234
1156548895563
1224128311176
131089a774c62
14703772d110
153b89ba8109
hex21c2aebcaa

145000152234 has 96 divisors (see below), whose sum is σ = 370053066240. Its totient is φ = 40174983936.

The previous prime is 145000152217. The next prime is 145000152247. The reversal of 145000152234 is 432251000541.

145000152234 is a `hidden beast` number, since 1 + 4 + 500 + 0 + 152 + 2 + 3 + 4 = 666.

145000152234 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145000152198 and 145000152207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533182 + ... + 757814.

It is an arithmetic number, because the mean of its divisors is an integer number (3854719440).

Almost surely, 2145000152234 is an apocalyptic number.

145000152234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145000152234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185026533120).

145000152234 is an abundant number, since it is smaller than the sum of its proper divisors (225052914006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145000152234 is a wasteful number, since it uses less digits than its factorization.

145000152234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224804 (or 224801 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 145000152234 its reverse (432251000541), we get a palindrome (577251152775).

The spelling of 145000152234 in words is "one hundred forty-five billion, one hundred fifty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 109 126 141 218 282 327 329 423 654 658 763 846 981 987 1526 1962 1974 2289 2961 4578 5123 5922 6867 10246 13734 15369 30738 35861 46107 71722 92214 107583 215166 224633 322749 449266 645498 673899 1347798 1572431 2021697 3144862 4043394 4717293 9434586 10557751 14151879 21115502 24484997 28303758 31673253 48969994 63346506 73454991 73904257 95019759 146909982 147808514 171394979 190039518 220364973 221712771 342789958 440729946 443425542 514184937 665138313 1028369874 1150794859 1330276626 1542554811 2301589718 3085109622 3452384577 6904769154 8055564013 10357153731 16111128026 20714307462 24166692039 48333384078 72500076117 145000152234